论文检索

成对比较实验的贝叶斯方法AI 解读

A Bayesian approach to the analysis of paired comparison experiments is presented. Two statistical models are considered: the multibinomial and the Bradley-Terry model. For each, the natural conjugate family of priors is used to represent prior beliefs, and the parameters of the prior are given meaningful interpretations. Two different estimators are suggested for the model parameters, the preference probabilities of the multibinomial model and the worth parameters of the…

多变量成对比较中的回归关系AI 解读

In two previous papers, a model for multivariate paired comparisons was proposed and the associated methodology and large-sample properties were developed. The present study considers the problem of relating the response pattern on overall quality to that on a specified set of attributes. A regression equation is derived for a joint distribution of responses to dichotomous items and is applied to the multivariate paired comparison model. A test of the significance of the…

允许平局的 Bradley–Terry 配对比较模型扩展AI 解读

This study is concerned with the extension of the Bradley-Terry model for paired comparisons to situations which allow an expression of no preference. A new model is developed and its performance compared with a model proposed by Rao and Kupper. The maximum likelihood estimates of the parameters are found using an iterative procedure which, under a weak assumption, converges monotonically to the solution of the likelihood equations. It is noted that for a balanced paired…

多元成对比较：单变量模型的推广及估计与检验AI 解读

This study is concerned with the development of an extension of the Bradley-Terry model for paired comparisons to situations in which responses to paired comparisons are obtained on each of several characteristics. At the outset a probability model for multivariate paired comparisons is proposed that may be represented in several distinct ways. An iterative procedure for obtaining maximum-likelihood estimates of the parameters introduced into the model is given and its…

多变量成对比较：单变量模型的扩展及估计与检验AI 解读

This study is concerned with the development of an extension of the Bradley-Terry model for paired comparisons to situations in which responses to paired comparisons are obtained on each of several characteristics. At the outset a probability model for multivariate paired comparisons is proposed that may be represented in several distinct ways. An iterative procedure for obtaining maximum-likelihood estimates of the parameters introduced into the model is given and its…